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Finding the Fourth Proportional to 32,072.24, 48,108.46 and 9,884.90

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Solution

The fourth proportional to 32,072.24, 48,108.46 and 9,884.90 is: 14,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,072.24 : 48,108.46 = 9,884.90 : x
  2. Step 2: Convert to fraction form
    32,072.24/48,108.46 = 9,884.90/x
  3. Step 3: Cross multiply
    32,072.24x = 48,108.46 × 9,884.90
  4. Step 4: Simplify right side
    32,072.24x = 475,547,316.25
  5. Step 5: Solve for x
    x = 475,547,316.25/32,072.24
  6. Step 6: Final answer
    x = 14,827.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.